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  1. If (x – a) (x – b) = 1 and a – b + 5= 0, then the value of ( x - a )3 -
    1
    		 is :
    ( x - a )3

    1. –125
    2. 1
    3. 125
    4. 140
Correct Option: D

(x - a)3 -
1
 = (x - a) -
1
3 - 3(x - a) -
1
(x - a)3(x - a)(x - a)

= (x – a – x + b)3 + 3(x – a – x + b)
= (b - a)3 + 3(b – a)
= 53 + 3 × 5 = 125 + 15 = 140


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